English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We classify the reflexive modules of rank one over rational and minimallyelliptic singularities. Equivalently, we classify full line bundles on theresolutions of rational and minimally elliptic singularities. As anapplication, we determine among such reflexive modules of rank one all thespecial ones (in the sense of Wunram) and all the flat ones. In this way, wealso classify the non-flat reflexive modules as well (as a generalization of aconstruction of Dan and Romano).  In particular, we prove (in the rank one case) a conjecture of Behnke, namelythat in the case of a cusp singularity any reflexive module admits a flatconnection.  The results generalize the classical Mckay correspondence, and results ofArtin, Verdier, Esnault, Khan and Wunram valid for different particularfamilies of singularities.

The classification of reflexive modules of rank one over rational and minimally elliptic singularities